Don't have the hammock set up and it's getting dark out but I laid it out and took a quick snapshot, should give you the idea. The hammock (Nano 7) has sewn channels in it, so I took the non-looped end of the strap, fed it through the channel, and ran it through the tri-glide buckle.
The end of the strap with the sewn loop has the dutch clip in it, and just gets wrapped around the tree as you normally would use a dutch clip. What you see going out of the frame on the right hand side is the loose end of the strap after it exits the buckle, where you'd pull or loosen to adjust the suspension length.
Note: you may notice this is a *very* short "tree" end of the strap - this is set up for my hammock stand right now so it's choked up a lot shorter than normal.